Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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[151.] Notæ in Propoſit. XXXIII. XXXIV.
[152.] Notæ in Propoſit. XXXV.
[153.] Notæ in Prop. XXXVI.
[154.] Notæ in Prop. XXXVIII.
[155.] Notæ in Propoſit. XXXIX.
[156.] Notæ in Propoſit. XXXXVIII.
[157.] LIBRI QVINTI FINIS.
[158.] APOLLONII PERGAEI CONICORVM LIB VI. DEFINITIONES. I.
[159.] II.
[160.] III.
[161.] IV.
[163.] VI.
[164.] VII.
[165.] VIII.
[166.] IX.
[167.] NOTÆ.
[168.] MONITVM.
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
[170.] PROPOSITIO II.
[171.] PROPOSITIO IV.
[172.] PROPOSITIO X.
[173.] Notæ in Propoſit. I.
[174.] Notæ in Propoſit. II.
[175.] Notæ in Propoſit. IV.
[176.] Notæ in Propoſit. X.
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
[178.] PROPOSITIO VI.
[179.] PROPOSITIO VII.
[180.] PROPOSITIO IX.
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            <s xml:id="echoid-s9000" xml:space="preserve">
              <pb o="240" file="0278" n="278" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0278-01" xlink:href="fig-0278-01a" number="323">
                <image file="0278-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0278-01"/>
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            ad Z b, & </s>
            <s xml:id="echoid-s9001" xml:space="preserve">ad Z a eſt eadem; </s>
            <s xml:id="echoid-s9002" xml:space="preserve">& </s>
            <s xml:id="echoid-s9003" xml:space="preserve">propterea Z b æqualis eſt Z a, quod eſt
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            abſurdum.</s>
            <s xml:id="echoid-s9004" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9005" xml:space="preserve">Ponamus iam quadratum F G ad G H in G I maiorem proportionem
              <lb/>
            habere, quàm D B ad B E. </s>
            <s xml:id="echoid-s9006" xml:space="preserve">Dico in cono H F I exhiberi non poſſe ſe-
              <lb/>
            ctionem æqualem hyperbolæ A B. </s>
            <s xml:id="echoid-s9007" xml:space="preserve">Si enim exhiberi poſſet illius axi ali-
              <lb/>
            qua parallela reperiretur vt F N: </s>
            <s xml:id="echoid-s9008" xml:space="preserve">& </s>
            <s xml:id="echoid-s9009" xml:space="preserve">quadratum F N ad I N in N H ma-
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            iorem proportionem habens, quàm quadratum F G ad quadratum G H,
              <lb/>
            erit vt D B ad B E; </s>
            <s xml:id="echoid-s9010" xml:space="preserve">quæ minor eſt proportione quadrati F G ad qua-
              <lb/>
            dratum G H: </s>
            <s xml:id="echoid-s9011" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s9012" xml:space="preserve">Non ergo reperitur in cono H F I ſe-
              <lb/>
            ctio æqualis hyperbolæ A B. </s>
            <s xml:id="echoid-s9013" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head299" xml:space="preserve">PROPOSITIO XXVIII.</head>
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            <s xml:id="echoid-s9015" xml:space="preserve">SIt iam ſectio elliptica A B, cuius axis tranſuerſus B D, & </s>
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            erectus illius B E, & </s>
            <s xml:id="echoid-s9017" xml:space="preserve">circa coni triangulum H F I deſcri-
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              <note position="right" xlink:label="note-0278-01" xlink:href="note-0278-01a" xml:space="preserve">a</note>
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                <image file="0278-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0278-02"/>
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